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Finding the Fourth Proportional to 31,353.04, 47,036.04 and 10,576

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Solution

The fourth proportional to 31,353.04, 47,036.04 and 10,576 is: 15,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.04 : 47,036.04 = 10,576 : x
  2. Step 2: Convert to fraction form
    31,353.04/47,036.04 = 10,576/x
  3. Step 3: Cross multiply
    31,353.04x = 47,036.04 × 10,576
  4. Step 4: Simplify right side
    31,353.04x = 497,453,159.04
  5. Step 5: Solve for x
    x = 497,453,159.04/31,353.04
  6. Step 6: Final answer
    x = 15,866.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.